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Finding the Fourth Proportional to 1,179.58, 1,769.14 and 486.42

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Solution

The fourth proportional to 1,179.58, 1,769.14 and 486.42 is: 729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.58 : 1,769.14 = 486.42 : x
  2. Step 2: Convert to fraction form
    1,179.58/1,769.14 = 486.42/x
  3. Step 3: Cross multiply
    1,179.58x = 1,769.14 × 486.42
  4. Step 4: Simplify right side
    1,179.58x = 860,545.08
  5. Step 5: Solve for x
    x = 860,545.08/1,179.58
  6. Step 6: Final answer
    x = 729.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.